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Simplify fourth root of x^17

$\sqrt[4]{x^{17}}$

Step 1

Rewrite

$x^{17}$ as

${(x^{4})}^{4} x$ .

Factor out

$x^{16}$ .

$\sqrt[4]{x^{16} x}$

Rewrite

$x^{16}$ as

${(x^{4})}^{4}$ .

$\sqrt[4]{{(x^{4})}^{4} x}$

$\sqrt[4]{{(x^{4})}^{4} x}$

Step 2

Pull terms out from under the radical.

$x^{4} \sqrt[4]{x}$

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